Footmercato says the summit was held on Thursday in Rome, with Giallorossi sports director Gianluca Petrachi heading the meeting.
Alderweireld can leave Tottenham this summer for just under €28m thanks to a clause in his contract.
The Belgian has been playing for Spurs since 2015. In the past season, the 30-year-old played 50 competitive games.
For his part, Spurs boss Mauricio Pochettino will be reluctant to lose the defender.